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Synchronization and anti-synchronization of a new hyperchaotic Lü system with uncertain parameters via the passive control technique. (English) Zbl 1282.34056

Summary: The synchronization and anti-synchronization problems of a newly reported hyperchaotic Lü system with uncertain parameters are investigated based on the passive control technique. By introducing three output variables, the passive controllers are designed to achieve synchronization and anti-synchronization between two new hyperchaotic Lü systems. Moreover, the corresponding update laws of the parameters are given. Simulation results are provided to show the effectiveness of the proposed controllers.

MSC:

34D06 Synchronization of solutions to ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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